1 Consider a rectangular "pipe" or duct of height h and width w, where the cross-section is centered at (x, y) = (0,0), such that the boundaries are defined at x = w/2 and y = h/2. A pressure drop p is applied over length L to drive flow in the z direction. a) .Consider a channel where h is much less than w. Sketch (or plot) the velocity distribution across the short dimension (y) for different positions across the width dimension (x). On a separate plot, sketch the distribution of the depth-averaged velocity (what you would see if viewing the channel from above). b) Explain why the distribution in both plots look the way they do